Infinite not contact isotopic embeddings in (S2n-1,xi std)$(S boolean AND{2n-1},\xi _{\rm {std}})$ for n > 4$n\geqslant 4$

doi:10.1112/blms.12717

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	Infinite not contact isotopic embeddings in (S2n-1,xi std)$(S boolean AND{2n-1},\xi _{\rm {std}})$ for n > 4$n\geqslant 4$
	Zhou, Zhengyi 1,2
	2022-07-27
发表期刊	BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN	0024-6093
页码	7
摘要	For n > 4$n\geqslant 4$, we show that there are infinitely many formally contact isotopic embeddings of (STSn-1,xi std)$(ST<^>S<^>{n-1},\xi _{\rm {std}})$ to (S2n-1,xi std)$(S<^>{2n-1},\xi _{\rm {std}})$ that are not contact isotopic. This resolves a conjecture of Casals and Etnyre (Geom. Funct. Anal. 30 (2020), no. 1, 1-33) except for the n=3$n=3$ case. The argument does not appeal to the surgery formula of critical handle attachment for Floer theory/SFT.
DOI	10.1112/blms.12717
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000830588300001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61182
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Zhengyi
作者单位	1.Chinese Acad Sci, Morningside Ctr Math, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Zhengyi. Infinite not contact isotopic embeddings in (S2n-1,xi std)$(S boolean AND{2n-1},\xi _{\rm {std}})$ for n > 4$n\geqslant 4$[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,2022:7.
APA	Zhou, Zhengyi.(2022).Infinite not contact isotopic embeddings in (S2n-1,xi std)$(S boolean AND{2n-1},\xi _{\rm {std}})$ for n > 4$n\geqslant 4$.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,7.
MLA	Zhou, Zhengyi."Infinite not contact isotopic embeddings in (S2n-1,xi std)$(S boolean AND{2n-1},\xi _{\rm {std}})$ for n > 4$n\geqslant 4$".BULLETIN OF THE LONDON MATHEMATICAL SOCIETY (2022):7.